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Finding the Fourth Proportional to 4,969.97, 7,454.96 and 1,507.22

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Solution

The fourth proportional to 4,969.97, 7,454.96 and 1,507.22 is: 2,260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.97 : 7,454.96 = 1,507.22 : x
  2. Step 2: Convert to fraction form
    4,969.97/7,454.96 = 1,507.22/x
  3. Step 3: Cross multiply
    4,969.97x = 7,454.96 × 1,507.22
  4. Step 4: Simplify right side
    4,969.97x = 11,236,253.61
  5. Step 5: Solve for x
    x = 11,236,253.61/4,969.97
  6. Step 6: Final answer
    x = 2,260.83

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.